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Finding the Fourth Proportional to 320.21, 441.74 and 209.48

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Solution

The fourth proportional to 320.21, 441.74 and 209.48 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.21 : 441.74 = 209.48 : x
  2. Step 2: Convert to fraction form
    320.21/441.74 = 209.48/x
  3. Step 3: Cross multiply
    320.21x = 441.74 × 209.48
  4. Step 4: Simplify right side
    320.21x = 92,537.32
  5. Step 5: Solve for x
    x = 92,537.32/320.21
  6. Step 6: Final answer
    x = 288.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.